Convert decimal degrees to degrees, minutes, seconds, and convert degrees, minutes, seconds to decimal degrees. If applicable, round to the nearest second or the nearest thousandth of a degree. 47° 25' 11"

검증된 단계별 안내

To convert from degrees, minutes, and seconds (D° M' S") to decimal degrees, use the formula: \(\text{Decimal Degrees} = D + \frac{M}{60} + \frac{S}{3600}\).

Identify the values from the given angle: \(D = 47\), \(M = 25\), and \(S = 11\).

Substitute these values into the formula: \(47 + \frac{25}{60} + \frac{11}{3600}\).

Calculate each fractional part separately: \(\frac{25}{60}\) converts minutes to degrees, and \(\frac{11}{3600}\) converts seconds to degrees.

Add all parts together to get the decimal degree value, then round to the nearest thousandth if required.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Degrees, Minutes, and Seconds (DMS) Format

Degrees, minutes, and seconds is a way to express angles where one degree is divided into 60 minutes, and one minute into 60 seconds. This format is commonly used in navigation and geography to provide precise angular measurements.

Conversion from Decimal Degrees to DMS

To convert decimal degrees to DMS, separate the integer part as degrees, multiply the fractional part by 60 to get minutes, then multiply the remaining fractional part by 60 again to get seconds. Rounding is often applied to the nearest second for accuracy.

Conversion from DMS to Decimal Degrees

To convert DMS to decimal degrees, divide the minutes by 60 and the seconds by 3600, then add these values to the degrees. This conversion simplifies calculations and is useful in many trigonometric and geographic applications.